CK-12-Pre-Calculus Concepts

1.12. Inverses of Functions http://www.ck12.org Sketchh(x)andh−^1 (x). Findh−^1 (x)algebraically. It is actually a function? Ve ...

http://www.ck12.org Chapter 1. Functions and Graphs 1.13 References CK-12 Foundation.. CCSA CK-12 Foundation.. CCSA CK-12 Found ...

1.13. References http://www.ck12.org CK-12 Foundation.. CCSA CK-12 Foundation.. CCSA CK-12 Foundation.. CCSA CK-12 Foundation.. ...

http://www.ck12.org Chapter 1. Functions and Graphs CK-12 Foundation.. CK-12 Foundation.. CCSA CK-12 Foundation.. CCSA CK-12 Fo ...

http://www.ck12.org CHAPTER 2 Polynomials and Rational Functions Chapter Outline 2.1 Factoring Review 2.2 ADVANCEDFACTORING 2.3 ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions 2.1 Factoring Review Here you will review factoring techniques ...

2.1. Factoring Review http://www.ck12.org Guidance A polynomial is a sum of a finite number of terms. Each term consists of a co ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions −^12 (u^2 − 7 u+ 12 ) =−^12 (u− 3 )(u− 4 ) =−^12 (x^2 − 3 )(x^ ...

2.1. Factoring Review http://www.ck12.org =^13 x(x^4 − 11 x^2 + 18 ) =^13 x(x^2 − 2 )(x^2 − 9 ) =^13 x(x+ √ 2 )(x− √ 2 )(x+ 3 )( ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions 11.^12 x^4 −^292 x^2 + 50 12. x 24 −^5 x 92 + 181 13.x^4 −^133 ...

2.2. Advanced Factoring http://www.ck12.org 2.2 Advanced Factoring Here you will be exposed to a variety of factoring techniques ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Example A Factor the following expression: 6x^2 − 13 x− 28 Sol ...

2.2. Advanced Factoring http://www.ck12.org pair. In this case it is: ( 2 x− 7 )( 3 x+ 4 ) = 6 x^2 + 8 x− 21 x− 28 = 6 x^2 − 13 ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Show howa^3 +b^3 factors by checking the result given in the ...

2.2. Advanced Factoring http://www.ck12.org 10.(a−b)(a^6 +a^5 b+a^4 b^2 +a^3 b^3 +a^2 b^4 +ab^5 +b^6 ) Describe in words the pa ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions 2.3 Polynomial Expansion and Pascal’s Trian- gle Here you will ...

2.3. Polynomial Expansion and Pascal’s Triangle http://www.ck12.org (x+y)^0 = 1 (x+y)^1 =x+y (x+y)^2 =x^2 + 2 y+y^2 (x+y)^3 =x^3 ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Example A Expand the following binomial using Pascal’s Triangl ...

2.3. Polynomial Expansion and Pascal’s Triangle http://www.ck12.org 1 ( 1 2 x ) 5 + 5 ( 1 2 x ) 4 (− 3 )+ 10 ( 1 2 x ) 3 (− 3 )^ ...

http://www.ck12.org Chapter 2. Polynomials and Rational Functions Practice Factor the following polynomials by recognizing the c ...